SOLUTION: A sprinkler can water an area of 121π sq. feet if it rotates 360°. If a gardener sets the sprinkler so that it rotates only 80°, how much fencing is needed to enclose the area

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A sprinkler can water an area of 121π sq. feet if it rotates 360°. If a gardener sets the sprinkler so that it rotates only 80°, how much fencing is needed to enclose the area      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 944708: A sprinkler can water an area of 121π sq. feet if it rotates 360°. If a gardener sets the sprinkler so that it rotates only 80°, how much fencing is needed to enclose the area that the sprinkler will water?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Fence needed for two radii and the arc corresponding to 80 degrees.

pi%2Ar%5E2=121pi
r%5E2=121
r=11


The arc length,
2pi%2A11%288%2F36%29
11%2A8%2Api%2F18
11%2A4%2Api%2F9

Total fence needed is highlight%282%2A11%2B44pi%2F9%29.